Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Alfaro, Matthieu; | Hilhorst, Danielle
Affiliations: I3M, Université de Montpellier 2, Montpellier Cedex, France. E-mail: [email protected] | CNRS and Laboratoire de Mathématiques, Université de Paris-Sud 11, Orsay Cedex, France. E-mail: [email protected]
Note: [] Corresponding author: Matthieu Alfaro, I3M, Université de Montpellier 2, CC051, Place Eugène Bataillon, 34095 Mont- pellier Cedex 5, France. E-mail: [email protected].
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a small parameter, related to the thickness of a diffuse interface, tends to zero. We prove the rapid formation of transition layers which then propagate. We prove the convergence to a sharp interface limit whose normal velocity, at each point, is that of the underlying degenerate travelling wave.
Keywords: degenerate diffusion, singular perturbation, sharp interface limit, population dynamics
DOI: 10.3233/ASY-2011-1067
Journal: Asymptotic Analysis, vol. 76, no. 1, pp. 35-48, 2012
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
[email protected]
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office [email protected]
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
如果您在出版方面需要帮助或有任何建, 件至: [email protected]